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Volume 6, Issue 6
A Layer-Integrated Model of Solute Transport in Heterogeneous Media

Hung-En Chen, Hui-Ping Lee, Shih-Wei Chiang, Tung-Lin Tsai & Jinn-Chuang Yang

Adv. Appl. Math. Mech., 6 (2014), pp. 699-717.

Published online: 2014-06

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  • Abstract

This study presents a numerical solution to the three-dimensional solute transport in heterogeneous media by using a layer-integrated approach. Omitting vertical spatial variation of soil and hydraulic properties within each layer, a three-dimensional solute transport can be simplified as a quasi-three-dimensional solute transport which couples a horizontal two-dimensional simulation and a vertical one-dimensional computation. The finite analytic numerical method was used to discretize the derived two-dimensional governing equation. A quadratic function was used to approximate the vertical one-dimensional concentration distribution in the layer to ensure the continuity of concentration and flux at the interface between the adjacent layers. By integration over each layer, a set of system of equations can be generated for a single column of vertical cells and solved numerically to give the vertical solute concentration profile. The solute concentration field was then obtained by solving all columns of vertical cells to achieve convergence with the iterative solution procedure. The proposed model was verified through examples from the published literatures including four verifications in terms of analytical and experimental cases. Comparison of simulation results indicates that the proposed model satisfies the solute concentration profiles obtained from experiments in time and space.

  • Keywords

Layer-integrated model, groundwater, solute transport, finite analytic method, heterogeneous media.

  • AMS Subject Headings

65C20, 65M99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-6-699, author = {Hung-En and Chen and and 19902 and and Hung-En Chen and Hui-Ping and Lee and and 19903 and and Hui-Ping Lee and Shih-Wei and Chiang and and 19904 and and Shih-Wei Chiang and Tung-Lin and Tsai and and 19905 and and Tung-Lin Tsai and Jinn-Chuang and Yang and and 19906 and and Jinn-Chuang Yang}, title = {A Layer-Integrated Model of Solute Transport in Heterogeneous Media}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2014}, volume = {6}, number = {6}, pages = {699--717}, abstract = {

This study presents a numerical solution to the three-dimensional solute transport in heterogeneous media by using a layer-integrated approach. Omitting vertical spatial variation of soil and hydraulic properties within each layer, a three-dimensional solute transport can be simplified as a quasi-three-dimensional solute transport which couples a horizontal two-dimensional simulation and a vertical one-dimensional computation. The finite analytic numerical method was used to discretize the derived two-dimensional governing equation. A quadratic function was used to approximate the vertical one-dimensional concentration distribution in the layer to ensure the continuity of concentration and flux at the interface between the adjacent layers. By integration over each layer, a set of system of equations can be generated for a single column of vertical cells and solved numerically to give the vertical solute concentration profile. The solute concentration field was then obtained by solving all columns of vertical cells to achieve convergence with the iterative solution procedure. The proposed model was verified through examples from the published literatures including four verifications in terms of analytical and experimental cases. Comparison of simulation results indicates that the proposed model satisfies the solute concentration profiles obtained from experiments in time and space.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m120}, url = {http://global-sci.org/intro/article_detail/aamm/44.html} }
TY - JOUR T1 - A Layer-Integrated Model of Solute Transport in Heterogeneous Media AU - Chen , Hung-En AU - Lee , Hui-Ping AU - Chiang , Shih-Wei AU - Tsai , Tung-Lin AU - Yang , Jinn-Chuang JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 699 EP - 717 PY - 2014 DA - 2014/06 SN - 6 DO - http://doi.org/10.4208/aamm.2013.m120 UR - https://global-sci.org/intro/article_detail/aamm/44.html KW - Layer-integrated model, groundwater, solute transport, finite analytic method, heterogeneous media. AB -

This study presents a numerical solution to the three-dimensional solute transport in heterogeneous media by using a layer-integrated approach. Omitting vertical spatial variation of soil and hydraulic properties within each layer, a three-dimensional solute transport can be simplified as a quasi-three-dimensional solute transport which couples a horizontal two-dimensional simulation and a vertical one-dimensional computation. The finite analytic numerical method was used to discretize the derived two-dimensional governing equation. A quadratic function was used to approximate the vertical one-dimensional concentration distribution in the layer to ensure the continuity of concentration and flux at the interface between the adjacent layers. By integration over each layer, a set of system of equations can be generated for a single column of vertical cells and solved numerically to give the vertical solute concentration profile. The solute concentration field was then obtained by solving all columns of vertical cells to achieve convergence with the iterative solution procedure. The proposed model was verified through examples from the published literatures including four verifications in terms of analytical and experimental cases. Comparison of simulation results indicates that the proposed model satisfies the solute concentration profiles obtained from experiments in time and space.

Hung-En Chen, Hui-Ping Lee, Shih-Wei Chiang, Tung-Lin Tsai & Jinn-Chuang Yang. (1970). A Layer-Integrated Model of Solute Transport in Heterogeneous Media. Advances in Applied Mathematics and Mechanics. 6 (6). 699-717. doi:10.4208/aamm.2013.m120
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